I don't have too much time this morning, so I'll keep this one relatively short.
From about 1895 to 1945 the concepts of jazz and dance were married. Going to see a jazz concert was synonymous with dancing. The earliest of the dances designed for specific sub-genres of jazz was the cakewalk. The cakewalk actually predates jazz itself, as it was originally a dance for ragtime. The cakewalk went on to influence the Charleston, the Lindyhop (which got it's name from Lindberg "hopping" over the Atlantic), and the Jitterbug. If you'll notice in the linked videos, the jitterbug appears to be a more tame version of the lindyhop. This is because the jitterbug was an attempt by white people to dance the lindyhop. It wasn't too successful, resulting in a dance with less flips and twists. There was a humorous back and forth between blacks influencing white dance which influenced blacks. Blacks thought it funny that the whites were trying to imitate their dances and thus blacks began dancing in a way that mocked whites trying to dance like the blacks (as seen in the video above). Whites however didn't realize they were being mocked and thought they had become an influence on how the blacks dance. This resulted in a higher confidence for whites to dance in a manner not like the original black dance, and put more fuel on the fire for blacks to mock them.
"The truest expression of a people is in its dance and music." -Agnes de Mille